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242312300 = 225217913537
BaseRepresentation
bin11100111000101…
…10010001101100
3121212221201222122
432130112101230
5444012443200
640013332112
76001422566
oct1634262154
9555851878
10242312300
111148628aa
1269197038
133b280479
1424278336
1516416385
hexe71646c

242312300 has 36 divisors (see below), whose sum is σ = 528794280. Its totient is φ = 96376320.

The previous prime is 242312299. The next prime is 242312321. The reversal of 242312300 is 3213242.

242312300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11132 + ... + 24668.

It is an arithmetic number, because the mean of its divisors is an integer number (14688730).

Almost surely, 2242312300 is an apocalyptic number.

242312300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264397140).

242312300 is an abundant number, since it is smaller than the sum of its proper divisors (286481980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242312300 is a wasteful number, since it uses less digits than its factorization.

242312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13730 (or 13723 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 242312300 is about 15566.3836519598. The cubic root of 242312300 is about 623.4359184366.

Adding to 242312300 its reverse (3213242), we get a palindrome (245525542).

The spelling of 242312300 in words is "two hundred forty-two million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 716 895 1790 3580 4475 8950 13537 17900 27074 54148 67685 135370 270740 338425 676850 1353700 2423123 4846246 9692492 12115615 24231230 48462460 60578075 121156150 242312300